A satellite of mass `m` is in a circular orbit of radius `r` round the Earth. Calculate its angular momentum with respect to the centre of the orbit in terms of the mass `M` of the Earth and `G`.

Options

A. `(GMmr)^(1//2)`
B. `(GMm^(2)r)^(1//2)`
C. `(GMm^(2)r^(2))^(1//2)`
D. `(GM^(2)m^(2)r)^(1//2)`

Answer

B

Explanation

Orbital speed of the satellite

`v=sqrt((GM)/(r))`
Angular momentum of the satellite
`L=mvr=mr xx sqrt((GM)/(r))`
`=(GMm^(2)r)^(1//2)`